What is the Least Common Multiple of 11033 and 11050?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11033 and 11050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11033 and 11050, than apply into the LCM equation.

GCF(11033,11050) = 17
LCM(11033,11050) = ( 11033 × 11050) / 17
LCM(11033,11050) = 121914650 / 17
LCM(11033,11050) = 7171450

Least Common Multiple (LCM) of 11033 and 11050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11033 and 11050. First we will calculate the prime factors of 11033 and 11050.

Prime Factorization of 11033

Prime Factorization of 11050

Now multiplying the highest exponent prime factors to calculate the LCM of 11033 and 11050.

LCM(11033,11050) = 11¹ × 17¹ × 59¹ × 2¹ × 5² × 13¹
LCM(11033,11050) = 7171450